$\overline{M}_{0,n}$ is not a Mori Dream Space
Algebraic Geometry
2017-01-18 v3
Abstract
Building on the work of Goto, Nishida and Watanabe on symbolic Rees algebras of monomial primes, we prove that the moduli space of stable rational curves with n punctures is not a Mori Dream Space for n>133. This answers the question of Hu and Keel.
Cite
@article{arxiv.1311.7673,
title = {$\overline{M}_{0,n}$ is not a Mori Dream Space},
author = {Ana-Maria Castravet and Jenia Tevelev},
journal= {arXiv preprint arXiv:1311.7673},
year = {2017}
}
Comments
Improved exposition; published version